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2098108404 = 22327179193241
BaseRepresentation
bin111110100001110…
…1001011111110100
312102012221221122200
41331003221133310
513244103432104
6544105424500
7102664425060
oct17503513764
95365857580
102098108404
11987366997
124a679b130
132758a7b82
1415c916aa0
15c42e1b39
hex7d0e97f4

2098108404 has 144 divisors (see below), whose sum is σ = 6152065920. Its totient is φ = 590561280.

The previous prime is 2098108393. The next prime is 2098108447. The reversal of 2098108404 is 4048018902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8705724 + ... + 8705964.

It is an arithmetic number, because the mean of its divisors is an integer number (42722680).

Almost surely, 22098108404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098108404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076032960).

2098108404 is an abundant number, since it is smaller than the sum of its proper divisors (4053957516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2098108404 is a wasteful number, since it uses less digits than its factorization.

2098108404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2098108404 is about 45805.1132953516. The cubic root of 2098108404 is about 1280.1945513199.

The spelling of 2098108404 in words is "two billion, ninety-eight million, one hundred eight thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 193 241 252 358 386 482 537 579 716 723 772 964 1074 1158 1253 1351 1446 1611 1687 1737 2148 2169 2316 2506 2702 2892 3222 3374 3474 3759 4053 4338 5012 5061 5404 6444 6748 6948 7518 8106 8676 10122 11277 12159 15036 15183 16212 20244 22554 24318 30366 34547 43139 45108 46513 48636 60732 69094 86278 93026 103641 129417 138188 139539 172556 186052 207282 241829 258834 279078 301973 310923 325591 388251 414564 418617 483658 517668 558156 603946 621846 651182 725487 776502 837234 905919 967316 976773 1207892 1243692 1302364 1450974 1553004 1674468 1811838 1953546 2176461 2717757 2901948 2930319 3623676 3907092 4352922 5435514 5860638 8325827 8705844 10871028 11721276 16651654 24977481 33303308 49954962 58280789 74932443 99909924 116561578 149864886 174842367 233123156 299729772 349684734 524527101 699369468 1049054202 2098108404